Introduction to SPDE and to stochastic models for 1d and 2d turbulence
Title: Introduction to SPDE and to stochastic models for 1d and 2d turbulence
Speaker: Sergei Kuksin
From: University Paris 7，France & Steklov Mathematical Institute, Russia
Time: April 10th 14:00-16:00
11th 11:15-12:15 14:00-15:00
13th 9:00-11:00
14th 9:00-11:00
Room: N204
Abstract: My course will be dedicated to the 1d Burgers and 2d Navier-Stokes equations under periodic boundary conditions, perturbed by random forces. These equations are used to model the turbulence in dimensions 1 and 2. Motivated by this physical meaning of the two equations, I will discuss the asymptotical properties of their solutions under the two limits: time goes to infinity and viscosity goes to zero. To do this I will use tools from the stochastic calculus and optimal control, well applicable to other nonlinear stochastic PDEs.